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Physical Sciences and Mathematics Commons

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William & Mary

Mathematics

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Full-Text Articles in Physical Sciences and Mathematics

Introducing R, Lawrence Leemis Jan 2022

Introducing R, Lawrence Leemis

Arts & Sciences Book Chapters

R is an open source programming language and interactive programming environment that has become the software tool of choice in data analytics. Learning Base R provides an introduction to the language for those with and without prior programming experience. It introduces the key topics that you will need to begin analyzing data and programming in R. The focus here is on the R language rather than a particular application. Within the text, there are 200 exercises to assess your R skills.


Random Sampling, Lawrence Leemis Jan 2020

Random Sampling, Lawrence Leemis

Arts & Sciences Book Chapters

Mathematical Statistics describes the mathematical underpinnings associated with the practice of statistics. The pre-requisite for this book is a calculus-based course in probability. Nearly 200 figures and dozens of Monte Carlo simulation experiments in R help develop the intuition behind the statistical methods. Real-world problems from a wide range of fields help the reader apply the statistical methods. Over 300 exercises are used to reinforce concepts and make this book appropriate for classroom use.

The table of contents for this book is given below.

1. Random Sampling 2. Point Estimation 3. Interval Estimation 4. Hypothesis Testing


Introduction To "Probability", Lawrence Leemis Jan 2018

Introduction To "Probability", Lawrence Leemis

Arts & Sciences Book Chapters

This calculus-based introduction to probability covers all of the traditional topics, along with a secondary emphasis on Monte Carlo simulation. Examples that introduce applications from a wide range of fields help the reader apply probability theory to real-world problems. The text covers all of the topics associated with Exam P given by the Society of Actuaries. Over 100 figures highlight the intuitive and geometric aspects of probability. Over 800 exercises are used to reinforce concepts and make this text appropriate for classroom use.


Arithmetic, Lawrence Leemis Jan 2012

Arithmetic, Lawrence Leemis

Arts & Sciences Book Chapters

Transitioning to Calculus is a comprehensive compilation of the mathematical concepts and formulas that are required of students entering their first class in calculus. The essentials of arithmetic, algebra, geometry, analytic geometry, trigonometry, and complex variables are organized into separate chapters. The purpose of this book is to provide a succinct but comprehensive list of the topics required of students entering calculus. Over 100 figures highlight the intuitive and geometric aspects of the formulas and concepts. Each chapter ends with a series of exercises (with space provided for working out a solution) that are designed to reinforce the application of …